If the coefrth, (r + 1)th and (r + 2)th (1 + x)ⁿ are in A.P., prove n² - (4r + 1)n + 4r² - 2 = 0.

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#Binomial Theorem rth,(r+1)th and (r+2)th are in A.P then show that n² -(4r+1)n+4r²-2=0 #Binomial Theorem rth,(r+1)th and (r+2)th are in A.P then show that n² -(4r+1)n+4r²-2=0
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If the coefficients of `a^(r-1),a^r` and `a^(r+1)` in the expansion of `(1+a)^n` are in arithmet... If the coefficients of `a^(r-1),a^r` and `a^(r+1)` in the expansion of `(1+a)^n` are in arithmet...